Principal Lecturers
Luigi Ambrosio, Scuola Normale Superiore, Pisa, Italy
Sets of finite perimeter, BV functions, and currents in metric spaces. Abstract
Luis Caffarelli, University of Texas at Austin, U.S.A.
Some PDE's in periodic media:
Minimal surfaces, fully non linear
equations, and the Monge
Ampere equation. Abstract
Schedule
To view the abstract of a talk, please click on the title.
Friday, May 23
8:30-9:00 Registration
9:00-9:15 Opening remarks
9:15-10:15 Luis Caffarelli, Lecture 1.
10:15-10:30 Coffee break
10:30-11:30 Yanyan Li, Rutgers University, Some conformally invariant fully nonlinear equations: Liouville, Yamabe, and Harnack.
11:30-11:50 Lei Zhang, Texas A&M, Classification theorems on a prescribing Gauss curvature and geodesic curvature problem.
11:50-12:10 Marianne Korten, Kansas State University, On the pointwise jump condition at the free boundary in the one phase Stefan problem.
12:10-2:15 Lunch break
2:15-3:30 Luigi Ambrosio, Lecture 1.
3:30-4:30 Robert Hardt, Rice University, Minimization of Fractional Power Densities.
4:30-4:45 Coffe break
4:45-5:05 Xiaosheng Li, University of Illinois at Urbana – Champaign, Schottky quasiconformal groups in metric spaces.
5:05-5:25 Marian Bocea, Carnegie Mellon University, The structure of minimizing sequences for 3D-2D dimensional reduction problems.
5:25-5:45 Changyou Wang, University of Kentucky, Regularity of biharmonic maps.
Saturday, May 24
8:30-9:30 Luis Caffarelli, Lecture 2.
9:30-10:30 Jeff Viaclovsky, M.I.T., Fully nonlinear equations and conformal geometry.
10:30-10:50 Coffee break
10:50-11:50 Ki-Ahm Lee, Seoul National University, The power-concavity on the nonlinear parabolic flows.
11:50-12:20 David Hoff, Indiana University, Compressible flow in regions with rough boundaries.
12:20-2:15 Lunch break
2:15-3:30 Luigi Ambrosio, Lecture 2
3:30-4:30 Jeremy Tyson, University of Illinois at Urbana-Champaign, Lifts of Lipschitz maps and horizontal fractals in the Heisenberg group.
4:30-4:45 Coffe break
4:45-5:05 Haiyan Wang, Arizona State University West, On the structure of positive radial solutions for quasilinear equations.
5:05-5:25 Aobing Li, Rutgers University, A fully nonlinear version of the Yamabe problem.
5:25-5:45 Rajesh Mahadevan, University of Lisboa, Asymptotic analysis of an optimal location problem.
Sunday, May 25
8:30-9:30 Luis Caffarelli, Lecture 3.
9:30-10:30 Luigi Ambrosio, Lecture 3.
10:30-10:50 Coffee break
10:50-11:50 Francois Hamel, University of Aix-Marseille III, Front propagation in periodic media and some applications.
11:50-12:10 Thomas Bieske, University of Michigan, Lipschitz extensions on Grushin-type spaces.
12:20-2:15 Lunch break
2:15-3:30 Luigi Ambrosio, Lecture 4.
3:30-4:30 Piotr Hajlasz, University of Warsaw and University of Michigan, Sobolev mappings between manifolds and metric spaces.
4:30-4:45 Coffe break
4:45-5:05 Filippo Gazzola, Università del Piemonte, Web functions and their minimizing properties.
5:05-5:25 Salvador Moll, University of Valencia, The total variation flow with measure initial data.
5:25-5:45 Biao Ou, University of Toledo, Radial symmetry of positive continuous solutions to a singular integral equation.
Monday, May 26
8:30-9:30 Luis Caffarelli, Lecture 4.
9:30-9:50 Tiziana Giorgi, New Mexico State University, Superconductors surrounded by normal materials.
9:50-10:10 Bo Guan, University of Tennessee, Monge-Ampere equations with infinite boundary value.
10:10-10:30 Yoshihiro Tonegawa, Hokkaido University, On some results on the two-phase singular perturbation problem.
10:30-10:45 Coffee break
10:45-12:00 Luigi Ambrosio, Lecture 5.